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Finding the Third Proportional to 72,216 and 111,602

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Solution

The third proportional to 72,216 and 111,602 is: 172,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,216 : 111,602 = 111,602 : x
  2. Step 2: Convert to fraction form
    72,216/111,602 = 111,602/x
  3. Step 3: Cross multiply
    72,216x = 111,602 × 111,602
  4. Step 4: Simplify right side
    72,216x = 12,455,006,404
  5. Step 5: Solve for x
    x = 12,455,006,404/72,216
  6. Step 6: Final answer
    x = 172,468.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.